88761883392 has 648 divisors, whose sum is σ = 323283136176. Its totient is φ = 23215030272.

The previous prime is 88761883381. The next prime is 88761883433. The reversal of 88761883392 is 29338816788.

88761883392 is a `hidden beast` number, since 8 + 8 + 7 + 618 + 8 + 3 + 3 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289126503 + ... + 289126809.

Almost surely, 2^88761883392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88761883392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161641568088).

88761883392 is an abundant number, since it is smaller than the sum of its proper divisors (234521252784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88761883392 is a wasteful number, since it uses less digits than its factorization.

88761883392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 529 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 88761883392 in words is "eighty-eight billion, seven hundred sixty-one million, eight hundred eighty-three thousand, three hundred ninety-two".